989624160 has 288 divisors, whose sum is σ = 3985293312. Its totient is φ = 218833920.

The previous prime is 989624149. The next prime is 989624161. The reversal of 989624160 is 61426989.

It is a happy number.

989624160 is a `hidden beast` number, since 9 + 8 + 9 + 624 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989624161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310897 + ... + 314063.

It is an arithmetic number, because the mean of its divisors is an integer number (13837824).

Almost surely, 2^989624160 is an apocalyptic number.

989624160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989624160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992646656).

989624160 is an abundant number, since it is smaller than the sum of its proper divisors (2995669152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

989624160 is a wasteful number, since it uses less digits than its factorization.

989624160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 989624160 is about 31458.2923884943. The cubic root of 989624160 is about 996.5293552266.

The spelling of 989624160 in words is "nine hundred eighty-nine million, six hundred twenty-four thousand, one hundred sixty".